221322120 has 64 divisors (see below), whose sum is σ = 667189440. Its totient is φ = 58732800.

The previous prime is 221322103. The next prime is 221322137. The reversal of 221322120 is 21223122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221322103) and next prime (221322137).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221322120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20950 + ... + 29690.

It is an arithmetic number, because the mean of its divisors is an integer number (10424835).

Almost surely, 2^221322120 is an apocalyptic number.

221322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333594720).

221322120 is an abundant number, since it is smaller than the sum of its proper divisors (445867320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221322120 is a wasteful number, since it uses less digits than its factorization.

221322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221322120 is about 14876.8988703963. The cubic root of 221322120 is about 604.8879604927.

Adding to 221322120 its reverse (21223122), we get a palindrome (242545242).

The spelling of 221322120 in words is "two hundred twenty-one million, three hundred twenty-two thousand, one hundred twenty".